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All results from a given calculation for C4H4N2 (Pyrazine)

using model chemistry: B3LYP/6-31G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D2H 1Ag
Energy calculated at B3LYP/6-31G*
 hartrees
Energy at 0K-264.317235
Energy at 298.15K-264.323116
Nuclear repulsion energy208.458774
The energy at 298.15K was derived from the energy at 0K and an integrated heat capacity that used the calculated vibrational frequencies.
Vibrational Frequencies calculated at B3LYP/6-31G*
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 Ag 3197 3070 0.00      
2 Ag 1633 1568 0.00      
3 Ag 1264 1214 0.00      
4 Ag 1047 1005 0.00      
5 Ag 608 584 0.00      
6 Au 993 953 0.00      
7 Au 351 337 0.00      
8 B1g 946 909 0.00      
9 B1u 3176 3050 10.58      
10 B1u 1531 1470 1.31      
11 B1u 1172 1126 4.60      
12 B1u 1033 992 36.66      
13 B2g 985 946 0.00      
14 B2g 775 744 0.00      
15 B2u 3191 3064 79.10      
16 B2u 1457 1399 30.83      
17 B2u 1244 1195 2.03      
18 B2u 1099 1056 11.91      
19 B3g 3176 3049 0.00      
20 B3g 1595 1531 0.00      
21 B3g 1388 1333 0.00      
22 B3g 722 693 0.00      
23 B3u 805 773 18.51      
24 B3u 435 418 21.45      

Unscaled Zero Point Vibrational Energy (zpe) 16911.3 cm-1
Scaled (by 0.9603) Zero Point Vibrational Energy (zpe) 16240.0 cm-1
See section III.C.1 List or set vibrational scaling factors to change the scale factors used here.
See section III.C.2 Calculate a vibrational scaling factor for a given set of molecules to determine the least squares best scaling factor.
Rotational Constants (cm-1) from geometry optimized at B3LYP/6-31G*
ABC
0.21376 0.19734 0.10261

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-31G*

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 0.000 1.410
N2 0.000 0.000 -1.410
C3 0.000 1.133 0.698
C4 0.000 -1.133 0.698
C5 0.000 -1.133 -0.698
C6 0.000 1.133 -0.698
H7 0.000 2.067 1.257
H8 0.000 -2.067 1.257
H9 0.000 -2.067 -1.257
H10 0.000 2.067 -1.257

Atom - Atom Distances (Å)
  N1 N2 C3 C4 C5 C6 H7 H8 H9 H10
N12.81901.33781.33782.39322.39322.07292.07293.37403.3740
N22.81902.39322.39321.33781.33783.37403.37402.07292.0729
C31.33782.39322.26632.66221.39691.08843.24883.75062.1671
C41.33782.39322.26631.39692.66223.24881.08842.16713.7506
C52.39321.33782.66221.39692.26633.75062.16711.08843.2488
C62.39321.33781.39692.66222.26632.16713.75063.24881.0884
H72.07293.37401.08843.24883.75062.16714.13464.83892.5140
H82.07293.37403.24881.08842.16713.75064.13462.51404.8389
H93.37402.07293.75062.16711.08843.24884.83892.51404.1346
H103.37402.07292.16713.75063.24881.08842.51404.83894.1346

picture of Pyrazine state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C3 C6 122.109 N1 C3 H7 117.012
N1 C4 C5 122.109 N1 C4 H8 117.012
N2 C5 C4 122.109 N2 C5 H9 117.012
N2 C6 C3 122.109 N2 C6 H10 117.012
C3 N1 C4 115.782 C3 C6 H10 120.879
C4 C5 H9 120.879 C5 N2 C6 115.782
C5 C4 H8 120.879 C6 C3 H7 120.879
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.376 0.179   -0.424
2 N -0.376 0.179   -0.424
3 C 0.035 0.179   0.168
4 C 0.035 0.179   0.168
5 C 0.035 -0.421   0.168
6 C 0.035 -0.421   0.168
7 H 0.153 0.032   0.044
8 H 0.153 0.032   0.044
9 H 0.153 0.031   0.044
10 H 0.153 0.031   0.044


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 0.000 0.000 0.000
CHELPG 0.000 0.000 0.000 0.000
AIM        
ESP 0.000 0.000 0.000 0.000


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.174 0.000 0.000
y 0.000 -26.764 0.000
z 0.000 0.000 -40.376
Traceless
 xyz
x -1.604 0.000 0.000
y 0.000 11.011 0.000
z 0.000 0.000 -9.407
Polar
3z2-r2-18.814
x2-y2-8.410
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.039 0.000 0.000
y 0.000 9.814 0.000
z 0.000 0.000 7.984


<r2> (average value of r2) Å2
<r2> 115.055
(<r2>)1/2 10.726